5214
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 6306
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1560
- Möbius Function
- 1
- Radical
- 5214
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 85
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5.at n=29A001976
- Coordination sequence T8 for Zeolite Code MFS.at n=45A008180
- Pseudoprimes to base 67.at n=40A020195
- a(n) = A026615(2*n, n-1).at n=6A026617
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=37A029695
- Numbers k such that 219*2^k+1 is prime.at n=30A032486
- 3*n^2-2*n+6.at n=42A047915
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = a(3) = 1.at n=13A049933
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n.at n=28A057250
- Number of staircase polygons of area n with one (staircase polygon) hole on square lattice (not allowing rotations).at n=7A057414
- a(n) = Sum_{d|n} sigma(d)^2.at n=31A065018
- Numbers k such that phi(k) divides sigma(k+1) + sigma(k).at n=40A067246
- Solution to the non-squashing boxes problem (version 2).at n=23A089055
- "The partial sums of the positions where T occurs in this sentence are one, eight, twentyfive, fortynine, eightythree, onehundredtwentysix, ..." (Variation of Aronson's sequence).at n=32A089613
- a(n) = n*(n+1)*(n+2)*(n+3)*(n+4)*(2 + 4*n + n^2)/840.at n=6A101097
- n times n+9 gives the concatenation of two numbers m and m-1.at n=4A116284
- Numbers k such that 12^k + 7 is prime.at n=16A137653
- Triangle related to the divergent series 1^m*1! - 2^m*2! + 3^m*3! - 4^m*4! + ... for m >= -1.at n=48A163940
- Fourth left hand column of triangle A163940.at n=6A163944
- Numbers k such that 30*k and 60*k are both the average of twin prime pairs.at n=33A177679